Rotational Symmetry Breaking in Multi-Matrix Models

Journal article

We consider a class of multi-matrix models with an action which is O(D) invariant, where D is the number of NxN Hermitian matrices X_\mu, \mu=1,...,D. The action is a function of all the elementary symmetric functions of the matrix $T_{\mu\nu}=Tr(X_\mu X_\nu)/N$. We address the issue whether the O(D) symmetry is spontaneously broken when the size N of the matrices goes to infinity. The phase diagram in the space of the parameters of the model reveals the existence of a critical boundary where the O(D) symmetry is maximally broken.

Authors: Wheater, J; Vernizzi, G

• Journal: Phys.Rev.D
• Volume: 66
• Pages: 085024
• Publication date: 2002-06-25
• Keywords: hep-th; cond-mat